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Finding the Fourth Proportional to 10,513.80, 14,509.14 and 5,797.96

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Solution

The fourth proportional to 10,513.80, 14,509.14 and 5,797.96 is: 8,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.80 : 14,509.14 = 5,797.96 : x
  2. Step 2: Convert to fraction form
    10,513.80/14,509.14 = 5,797.96/x
  3. Step 3: Cross multiply
    10,513.80x = 14,509.14 × 5,797.96
  4. Step 4: Simplify right side
    10,513.80x = 84,123,413.35
  5. Step 5: Solve for x
    x = 84,123,413.35/10,513.80
  6. Step 6: Final answer
    x = 8,001.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.